Difference between revisions of "2006 Cyprus MO/Lyceum/Problem 2"
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==Problem== | ==Problem== | ||
| − | {{ | + | The operation <math>\alpha * \beta</math> is defined by <math>\alpha * \beta = \alpha^2 - \beta^2</math> <math>\forall \alpha , \beta \in R</math>. |
| + | The value of the expression <math>K = \left[\left(1+\sqrt{3}\right) * 2\right]*\sqrt{2} </math> is | ||
| + | |||
| + | A. <math>3</math> | ||
| + | |||
| + | B. <math>0</math> | ||
| + | |||
| + | C. <math>\sqrt{3}</math> | ||
| + | |||
| + | D. <math>9</math> | ||
| + | |||
| + | E. <math>1</math> | ||
==Solution== | ==Solution== | ||
Revision as of 21:08, 17 October 2007
Problem
The operation 
is defined by 
.
The value of the expression ![$K = \left[\left(1+\sqrt{3}\right) * 2\right]*\sqrt{2}$](http://latex.artofproblemsolving.com/4/a/d/4ad89b5e6fb9ed359ec2e294fa68cbb5c4f416c4.png)
is
A. 
B. 
C. 
D. 
E. 
Solution
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See also
| 2006 Cyprus MO, Lyceum (Problems) | ||
| Preceded by Problem 1 |
Followed by Problem 3 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
